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Finding the Third Proportional to 322,753.22 and 709,202.81

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Solution

The third proportional to 322,753.22 and 709,202.81 is: 1,558,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,753.22 : 709,202.81 = 709,202.81 : x
  2. Step 2: Convert to fraction form
    322,753.22/709,202.81 = 709,202.81/x
  3. Step 3: Cross multiply
    322,753.22x = 709,202.81 × 709,202.81
  4. Step 4: Simplify right side
    322,753.22x = 502,968,629,257.91
  5. Step 5: Solve for x
    x = 502,968,629,257.91/322,753.22
  6. Step 6: Final answer
    x = 1,558,369.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.